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Finding the Fourth Proportional to 5,369.04, 7,406.41 and 3,130.10

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Solution

The fourth proportional to 5,369.04, 7,406.41 and 3,130.10 is: 4,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.04 : 7,406.41 = 3,130.10 : x
  2. Step 2: Convert to fraction form
    5,369.04/7,406.41 = 3,130.10/x
  3. Step 3: Cross multiply
    5,369.04x = 7,406.41 × 3,130.10
  4. Step 4: Simplify right side
    5,369.04x = 23,182,797.16
  5. Step 5: Solve for x
    x = 23,182,797.16/5,369.04
  6. Step 6: Final answer
    x = 4,317.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.